Quadratic equation

1.given the equation a(3x2+2x+1)=4x-6x2-4 with the solutions x1 and x2
a) let a=0 without solving the equation calculate x1-3+x2-3
the correct answer is supposed to be -7/2

2. Relevant equations
x1+x2=-b/a
x1*x2=c/a

3. The attempt at a solution
The first thing I was that I put in "a" so,
0*(3x2+2x+1)=4x-6x2-4
0=4x-6x2-4................... here I multiplied the whole equation by -1
0=6x2-4x+4...........................here i divided the equation by 6
0=x2-4/6x+46
then I used the equation
1/x13+1/x23=(1/x1+1/x2)3 -3/x12x2 -3/x22x1
This is where I have no idea how to continue.I'm not even sure that what I have written is correct .If someone could help me solve this,I would really appreciate it. Thanks for reading .

1.given the equation a(3x2+2x+1)=4x-6x2-4 with the solutions x1 and x2
a) let a=0 without solving the equation calculate x1-3+x2-3
the correct answer is supposed to be -7/2

2. Relevant equations
x1+x2=-b/a
x1*x2=c/a

3. The attempt at a solution
The first thing I was that I put in "a" so,
0*(3x2+2x+1)=4x-6x2-4
0=4x-6x2-4................... here I multiplied the whole equation by -1
0=6x2-4x+4...........................here i divided the equation by 6
0=x2-4/6x+4/6
then I used the equation
1/x13+1/x23=(1/x1+1/x2)3 -3/x12x2 -3/x22x1
This is where I have no idea how to continue.I'm not even sure that what I have written is correct .If someone could help me solve this,I would really appreciate it. Thanks for reading .

Try to bring in x1+x2 and x1x2.
For example, [tex]1/x_1+1/x_2=\frac{x_1+x_2}{x_1 x_2}[/tex]

thank you for your reply. I did as you said and I got:((x1+x2)/x1x2)3-3x1/x12x22 -3x2/x22x12. then I added the minuses together:((x1+x2)/x1x2)3-3x1+3x2/(x1x2)2
Did I do this part correct?
May I also ask, what command did you use to write (x1+x2)/x1x2 because your way looks much easier to understand

thank you for your reply. I did as you said and I got:(x1+x2/x1x2)3-3x1/x12x22 -3x2/x22x12. then I added the minuses together:(x1+x2/x1x2)3-3x1+3x2/(x1x2)2
Did I do this part correct?
May I also ask, what command did you use to write x1+x2/x1x2 because your way looks much easier to understand

He did not write ##x_1+x_2/x_1x_2##; you did that. In fact, you wrote
[tex]x_1 + \frac{x_2}{x_1 x_2}[/tex]
If you mean
[tex] \frac{x_1 + x_2}{x_1 x_2}[/tex]
then either use LaTeX or else use parentheses, like this: (x1+x2)/x1x2.

He did not write ##x_1+x_2/x_1x_2##; you did that. In fact, you wrote
[tex]x_1 + \frac{x_2}{x_1 x_2}[/tex]
If you mean
[tex] \frac{x_1 + x_2}{x_1 x_2}[/tex]
then either use LaTeX or else use parentheses, like this: (x1+x2)/x1x2.